But Mr. Priebus said there are still unanswered questions about the attack.

“Hillary Clinton is politics 24/7, and this is no different,” Mr. Priebus said.

Though she has not announced a 2016 run for president, Mrs. Clinton starts out as the presumed front-runner for the Democratic nomination. Should she run, her role in the U.S. response to the Benghazi attack it figures to play a significant part.